Multi-Object Adaptive Optics (MOAO) proves to be an innovative technique, presenting distinct advantages for both multiplexing and adaptive optics (AO)-assisted integral field spectroscopy. This work presents an examination of MOAO performance designed for the Thirty Meter Telescope (TMT). Inspired by the design principles of GNAO-GIRMOS for the Gemini North Telescope, we propose a two-stage AO system. Leveraging the experience from GIRMOS, our approach incorporates NFIRAOS as the initial stage carrying out the Ground Layer Adaptive Optics (GLAO) correction. Subsequently, we introduce a MOAO module to achieve an additional correction at specific positions within a two arcminutes field of view, using the wavefront sensor telemetry provided by NFIRAOS. Through extensive numerical simulations, we explore the MOAO system order parameters, leading us to converge on a baseline design. This study provides insights into the performance metrics extracted from our simulations and concludes with a promising outlook for the transformative impact of a two-stage AO system on TMT observations and scientific productivity.
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